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Uspekhi Mat. Nauk, 1986, Volume 41, Issue 3(249), Pages 45–67 (Mi umn2078)  

This article is cited in 31 scientific papers (total in 32 papers)

Progress in the topology of real algebraic varieties over the last six years

O. Ya. Viro

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English version:
Russian Mathematical Surveys, 1986, 41:3, 55–82

Bibliographic databases:

UDC: 515.16
MSC: 14P25, 14Q05, 14Hxx, 14Nxx
Received: 22.05.1985

Citation: O. Ya. Viro, “Progress in the topology of real algebraic varieties over the last six years”, Uspekhi Mat. Nauk, 41:3(249) (1986), 45–67; Russian Math. Surveys, 41:3 (1986), 55–82

Citation in format AMSBIB
\by O.~Ya.~Viro
\paper Progress in the topology of real algebraic varieties over the last six years
\jour Uspekhi Mat. Nauk
\yr 1986
\vol 41
\issue 3(249)
\pages 45--67
\jour Russian Math. Surveys
\yr 1986
\vol 41
\issue 3
\pages 55--82

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    1. A. B. Korchagin, E. I. Shustin, “Affine curves of degree 6 and smoothings of a nondegenerate sixth order singular point”, Math. USSR-Izv., 33:3 (1989), 501–520  mathnet  crossref  mathscinet  zmath
    2. V. N. Karpushkin, “Topology of the zeros of eigenfunctions”, Funct. Anal. Appl., 23:2 (1989), 218–220  mathnet  crossref  mathscinet  zmath  isi
    3. E. I. Shustin, “New restrictions on the topology of real curves of degree a multiple of 8”, Math. USSR-Izv., 37:2 (1991), 421–443  mathnet  crossref  mathscinet  zmath  adsnasa
    4. V. N. Karpushkin, “Bounds for the Betti numbers of a level surface of a harmonic polynomial”, Funct. Anal. Appl., 26:4 (1992), 300–302  mathnet  crossref  mathscinet  zmath  isi
    5. V. A. Krasnov, “On cohomology classes defined by the real points of a real algebraic $\operatorname{GM}$-surface”, Russian Acad. Sci. Izv. Math., 43:2 (1994), 385–395  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    6. V. A. Krasnov, “On equivariant Grothendieck cohomology of a real algebraic variety, and its applications”, Russian Acad. Sci. Izv. Math., 44:3 (1995), 461–477  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    7. A. I. Degtyarev, V. I. Zvonilov, “Rigid isotopy classification of real algebraic curves of bidegree $(3,3)$ on quadrics”, Math. Notes, 66:6 (1999), 670–674  mathnet  crossref  crossref  mathscinet  zmath  isi
    8. V. A. Krasnov, “Real algebraic varieties without real points”, Izv. Math., 63:4 (1999), 757–790  mathnet  crossref  crossref  mathscinet  zmath  isi
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    10. A. I. Degtyarev, V. M. Kharlamov, “Topological properties of real algebraic varieties: du coté de chez Rokhlin”, Russian Math. Surveys, 55:4 (2000), 735–814  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
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    17. E. Fortuna, P. Gianni, P. Parenti, C. Traverso, “Algorithms to compute the topology of orientable real algebraic surfaces”, Journal of Symbolic Computation, 36:3-4 (2003), 343  crossref
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    19. Itenberg, I, “Amoebas of algebraic varieties and curve enumeration (after G. Mikhalkin)”, Asterisque, 2004, no. 294, 335  mathscinet  zmath  isi
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    24. Brugalle, E, “Symmetric plane curves of degree 7: pseudoholomorphic and algebraic classifications”, Journal fur Die Reine und Angewandte Mathematik, 612 (2007), 129  crossref  mathscinet  zmath  isi  elib
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    27. Fiedler-Le Touze, S, “M-curves of degree 9 with deep nests”, Journal of the London Mathematical Society-Second Series, 79 (2009), 649  mathscinet  zmath  isi
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